Least Common Multiple of 448 and 454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 448 and 454 the smallest integer that is 101696 that is divisible by both numbers.

Least Common Multiple (LCM) of 448 and 454 is 101696.

LCM(448,454) = 101696

LCM of 448 and 454

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 448 and 454

LCM of 448 and 454 is 101696

Least common multiple can be found by multiplying the highest exponent prime factors of 448 and 454. First we will calculate the prime factors of 448 and 454.

Prime Factorization of 448


2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 448 are 2,7. Prime factorization of 448 in exponential form is:

448 = 26×71

Prime Factorization of 454


2 454
227 227
1

Prime factors of 454 are 2,227. Prime factorization of 454 in exponential form is:

454 = 21×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 448 and 454.

LCM(448,454) = 26×71×2271
LCM(448,454) = 101696

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Least Common Multiple of 448 and 454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 448 and 454, than apply into the LCM equation.

GCF(448,454) = 2
LCM(448,454) = ( 448 × 454) / 2
LCM(448,454) = 203392 / 2
LCM(448,454) = 101696

Properties of LCM 448 and 454

(i) The LCM of 454 and 448 is associative

LCM of 448 and 454 = LCM of 454 and 448

Related Least Common Multiples of 448

Related Least Common Multiples of 454

Frequently Asked Questions on LCM of 448 and 454

1. What is the LCM of 448 and 454?

Answer: LCM of 448 and 454 is 101696.

2. What are the Factors of 448?

Answer: Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. There are 14 integers that are factors of 448. The greatest factor of 448 is 448.

3. What are the Factors of 454?

Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.

4. How to Find the LCM of 448 and 454?

Answer:

Least Common Multiple of 448 and 454 = 101696

Step 1: Find the prime factorization of 448

448 = 2 x 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 454

454 = 2 x 227

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 101696 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 227

Step 4: Therefore, the least common multiple of 448 and 454 is 101696.